Exact solutions of the generalized (2 + 1)-dimensional nonlinear evolution equations via the modified simple equation method

摘要

In this paper, the modified simple equation method (MSEM) is applied to construct exact solutions of the generalized (2 + 1)-dimensional nonlinear evolution equations (NLEEs) involving parameters via the (2 + 1)-dimensional Calogero-Bogoyavlenskii-Schiff (CBS) equation, the (2 + 1)-dimensional breaking soliton equation and the (2 + 1)-dimensional Bogoyavlenskii's breaking soliton equation. The solitary wave solutions are derived from the exact solutions by assigning special values of the parameters.